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Pythagorean Theorem

Word problems

We can use the Pythagorean theorem to solve word problems.

A 15-foot ladder rests against a wall. The foot of the ladder is 5 feet away from the wall. How high up the wall does it reach?.

 c2=a2+b2 b2=c2-a2 b2=152-52 b2=200 $b=\sqrt{200}=10\sqrt{2}$

A 12 - foot ladder rests against a wall. The foot of the ladder is 36 feet away from the wall.
How high up the wall does it reach?.

 Solution: